Atkin-Lehner |
2+ 3+ 11+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
22968a |
Isogeny class |
Conductor |
22968 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
46080 |
Modular degree for the optimal curve |
Δ |
5640340324608 = 28 · 39 · 113 · 292 |
Discriminant |
Eigenvalues |
2+ 3+ 0 -4 11+ -2 2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-10935,425034] |
[a1,a2,a3,a4,a6] |
Generators |
[-65:928:1] |
Generators of the group modulo torsion |
j |
28697814000/1119371 |
j-invariant |
L |
3.9269938506588 |
L(r)(E,1)/r! |
Ω |
0.75392045127327 |
Real period |
R |
2.6043820962985 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
45936f1 22968p1 |
Quadratic twists by: -4 -3 |